A50.0g g sample of 16n decays to 12.5g in 14.4 seconds. what is its half life

T is amount after time t 
Ao is initial amount 
t is time 
HL is half life 

log (At) = log [ Ao x (1/2)^(t/HL) ] 
log (At) = log Ao + log (1/2)^(t/HL) 
log (At) = log Ao + (t/HL) x log (1/2) 

( log At - log Ao) / log (1/2) = t / HL 
log (At/Ao) / log (1/2) = t / HL 

HL = t / [( log (At / Ao)) / log (1/2) ] 

HL = 14.4 s / [ ( log (12.5 / 50) / log (1/2) ] 

HL = 14.4 s / 2 = 7.2 seconds 

This law states that, despite chemical reactions or physical transformations,
mass is conserved, that is, it cannot be created or destroyed. within an isolated system. In other words, in a chemical reaction, the mass of the products will always be equal to the mass of the reactants.